Properties

Label 161840ca
Number of curves $1$
Conductor $161840$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 161840ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161840.n1 161840ca1 \([0, -1, 0, -385, -22435]\) \(-1024/35\) \(-216272618240\) \([]\) \(161280\) \(0.85528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161840ca1 has rank \(0\).

Complex multiplication

The elliptic curves in class 161840ca do not have complex multiplication.

Modular form 161840.2.a.ca

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - 5 q^{11} + q^{13} - q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display